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What is the Least Common Multiple of 9758 and 9775?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9758 and 9775 is 5610850.

LCM(9758,9775) = 5610850

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Least Common Multiple of 9758 and 9775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9758 and 9775, than apply into the LCM equation.

GCF(9758,9775) = 17
LCM(9758,9775) = ( 9758 × 9775) / 17
LCM(9758,9775) = 95384450 / 17
LCM(9758,9775) = 5610850

Least Common Multiple (LCM) of 9758 and 9775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9758 and 9775. First we will calculate the prime factors of 9758 and 9775.

Prime Factorization of 9758

Prime factors of 9758 are 2, 7, 17, 41. Prime factorization of 9758 in exponential form is:

9758 = 21 × 71 × 171 × 411

Prime Factorization of 9775

Prime factors of 9775 are 5, 17, 23. Prime factorization of 9775 in exponential form is:

9775 = 52 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 9758 and 9775.

LCM(9758,9775) = 21 × 71 × 171 × 411 × 52 × 231
LCM(9758,9775) = 5610850